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The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected (1834)

Euclid, Euclid, Simson, Robert, 1687-1768 · Philadelphia : Desilver & Thomas · leaf 189

An illustration from The elements of Euclid : viz, the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, The book of Euclid's data, in like manner corrected, 1834, leaf 189
which arethe parallels AL, OPGN, in which also is the figure ALPO; andthe plane CBKE is that in which are the parallels CB, RQEK, inwhich also is the figure CBQR; therefore the figures ALPO,CBQR are in parallel planes; and the planes ACBL, ORQP are 566 Note. 2 A 186 THE ELEMENTS OF EUCLID. BOOK XI.… … is the parallelogram ACBL, to which ORQP is the one opposite;because they are upon the same base, and their insisting straightlines AF, AO, CD, CR; LM, LP, BH, BQ are in the same straightlines FR, MQ: and the solid CP is equal (29. 11.) to the solid CN:for they are upon the same base ACBL, and…

Mathematics, Greek · Geometry · Trigonometry

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